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A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay
Feng, Zhiguang1,3; Zhang, Xinyue1; Liu, Jason J.R.2; Jiang, Zhengyi3
2024-11-15
Source PublicationApplied Mathematics and Computation
ISSN0096-3003
Volume481Pages:128929
Abstract

This paper addresses the reachable set problem on nonlinear switched singular systems with impulsive performance and time-delay under bounded disturbance. The goal is to provide a real-time bounding set containing all reachable states. Originally, a real-time bounding criterion is developed by analyzing the variation of subinterval piecewise function and combining the definition of the average impulsive interval. Additionally, a lower bound on the Lyapunov function is provided by introducing an inequality scaling technique to avoid acquiring state bounds based on system decomposition techniques. Subsequently, the real-time bounding closed set, including all reachable states of the system, is estimated by calculating the Dini derivative of the Lyapunov function and using the real-time bounding criterion and the integral inequality technique. Finally, several numerical examples are given to illustrate the validity of the results obtained in this study.

KeywordImpulsive Performance Reachable Set Real-time Bounding Switched Singular Systems Time-delay
DOI10.1016/j.amc.2024.128929
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:001271987100001
PublisherELSEVIER SCIENCE INC, STE 800, 230 PARK AVE, NEW YORK, NY 10169
Scopus ID2-s2.0-85198348347
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF ELECTROMECHANICAL ENGINEERING
Corresponding AuthorLiu, Jason J.R.
Affiliation1.College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, China
2.The Department of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Macao
3.School of Mechanical, Materials, Mechatronic and Biomedical Engineering, University of Wollongong, Wollongong, 2522, Australia
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Feng, Zhiguang,Zhang, Xinyue,Liu, Jason J.R.,et al. A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay[J]. Applied Mathematics and Computation, 2024, 481, 128929.
APA Feng, Zhiguang., Zhang, Xinyue., Liu, Jason J.R.., & Jiang, Zhengyi (2024). A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay. Applied Mathematics and Computation, 481, 128929.
MLA Feng, Zhiguang,et al."A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay".Applied Mathematics and Computation 481(2024):128929.
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